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Obtain all the zeros of the polynomial `f(x)=3x^4+6x^3-2x^2-10 x-5,` if two of its zeros are`sqrt()a n d-sqrt(5/3)`

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OSWAL PUBLICATION-DIKSHA QUESTIONS -Unit -II : Algebra (Polynomials) (Long Answer Type Questions)
  1. Find the zeroes of the quadratic polynomial 3x^(2) -2 and verify the...

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  2. For each of the following , find a quadratic polynomial whose sum and ...

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  3. Obtain all the zeros of the polynomial f(x)=3x^4+6x^3-2x^2-10 x-5, if ...

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  4. Find the zeroes of the polynomial x^(2)+1/6 x-2 Hence verify the rela...

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  5. 4 chairs and 3 tables cost Rs 2100 and 5 chairs and 2 tables cost R...

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  6. 5/(x-1)+1/(y-2)=2 and 6/(x-1)-3/(y-2)=1 then find the values of x and ...

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  7. 6 (ax + by) = 3a + 2b & 6(bx-ay) = 3b-2a

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  8. Solve: 1/x+3/y=9 1/x -4/y =2

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  9. Solve for (x,y): 2x-3y =5 , 3x+4y = -1.

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  10. In a two digit number , the digit in the unit place is twice of the di...

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  11. Students are made to stand in rows . If one student is extra in a row ...

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  12. Graphically, solve the following pair of equations 2x+y=6 and 2x-y+2...

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  13. Solve the following system of equations by method of cross-multipli...

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  14. Solve the following questions. (ii) A train travels 360 km with unif...

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  15. Solve the following pair of linear equations in 2 variables: x/a +y/...

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  16. A boat covers 32 km upstream and 36 km downstream in 7 hours . In 9 ho...

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  17. A man travels 600 km partly by train and partly by car . It takes 8 ho...

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  18. Solve the following system of equations graphically : 4x-3y +4 = 0 ...

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  19. Two places 'A' and 'B' are 120 km apart from each other on a highway ....

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  20. 8 men and 12 boys can finish a piece of work in 5 days, while 6...

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